Research Of Solutions On Repeated Fuzzy Cooperative Game

In game theory, cooperative game has received a generous concern from scholars and become a research focus in academia. As an emerging branch of game theory, fuzzy game theory has attracted many scholars' interest since the last 70's, some research results appeared one after another. The purpose of this paper is to extend mature theories of classic cooperative games to repeat fuzzy coalition games by revising, It afford theoretic bases for players to select coalitions in the game.The paper mainly adds repeat cooperative game theory in the fuzzy cooperative model, set up repeat fuzzy cooperative model and give different solutions of the games. Such asτ-core, nucleolus. The relation betweenτ-core nucleolus and classical solution is given. We further extend the notions of repeat fuzzy cooperative game of core and stable set to generally compound repeat fuzzy cooperative game. It is shown that the definitions and characters of core and stable set.The paper is organized as follows: First, an introduction, providing background of classical games theory and practical value of the paper. Second, we give the conception ofτ-core and nucleolus by redefining the notion of domination, then discuss the properties of these solutions in repeated cooperative game. The next we introduceτ-core and nucleolus of the repeated fuzzy cooperative game under different condition in the fuzzy allocation n -person fuzzy cooperative game as well as discussed relation each other. Finally, the notions of generally compound repeat fuzzy cooperative game is given, and discussed the properties of its solution.